72212002265312 has 192 divisors, whose sum is σ = 185345046319104. Its totient is φ = 26875754864640.

The previous prime is 72212002265279. The next prime is 72212002265317. The reversal of 72212002265312 is 21356220021227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72212002265317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119051633 + ... + 119656655.

It is an arithmetic number, because the mean of its divisors is an integer number (965338782912).

Almost surely, 2^{72212002265312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72212002265312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92672523159552).

72212002265312 is an abundant number, since it is smaller than the sum of its proper divisors (113133044053792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72212002265312 is a wasteful number, since it uses less digits than its factorization.

72212002265312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607481 (or 607473 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 72212002265312 its reverse (21356220021227), we get a palindrome (93568222286539).

The spelling of 72212002265312 in words is "seventy-two trillion, two hundred twelve billion, two million, two hundred sixty-five thousand, three hundred twelve".